{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KOPXXOXFEF3OY7HWNQGDZLRCQ3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8086a6bee7429e4f4c74e73e408cd9e9ed46ce93808f0b9c3e75f46749bcbe80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-03-26T22:44:28Z","title_canon_sha256":"44c104b50f28f42c3541edaf4e5df7e15a90bacb06bec6230e7f9fca5539c318"},"schema_version":"1.0","source":{"id":"1703.08880","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08880","created_at":"2026-05-17T23:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08880v2","created_at":"2026-05-17T23:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08880","created_at":"2026-05-17T23:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"KOPXXOXFEF3O","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KOPXXOXFEF3OY7HW","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KOPXXOXF","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:54a3e6ab179cf75bbd406fb988c5d3b515d6063dcb5df9b3612a86c9503ff4be","target":"graph","created_at":"2026-05-17T23:41:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Wreath products of non-discrete locally compact groups are usually not locally compact groups, nor even topological groups. We introduce a natural extension of the wreath product construction to the setting of locally compact groups.\n  As an application, we disprove a conjecture of Trofimov, constructing compactly generated locally compact groups of intermediate growth without nontrivial compact normal subgroups.","authors_text":"Yves Cornulier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-03-26T22:44:28Z","title":"Locally compact wreath products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08880","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3e4bc6271dca4c50a09b9a10307b0c26f184801b66f3af12d07e1d1c070fda8c","target":"record","created_at":"2026-05-17T23:41:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8086a6bee7429e4f4c74e73e408cd9e9ed46ce93808f0b9c3e75f46749bcbe80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-03-26T22:44:28Z","title_canon_sha256":"44c104b50f28f42c3541edaf4e5df7e15a90bacb06bec6230e7f9fca5539c318"},"schema_version":"1.0","source":{"id":"1703.08880","kind":"arxiv","version":2}},"canonical_sha256":"539f7bbae52176ec7cf66c0c3cae2286f720042b69cfaa0e13889b910927b26b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"539f7bbae52176ec7cf66c0c3cae2286f720042b69cfaa0e13889b910927b26b","first_computed_at":"2026-05-17T23:41:13.571537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:13.571537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PPM69M+3dkvxrjqaT/LWTX4AI1TiPRWZrhkAlQURfFoKXd+qG+rASuowhVswLEuOidwwXEvOIvjWcBiY7lV0Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:13.572114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08880","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4bc6271dca4c50a09b9a10307b0c26f184801b66f3af12d07e1d1c070fda8c","sha256:54a3e6ab179cf75bbd406fb988c5d3b515d6063dcb5df9b3612a86c9503ff4be"],"state_sha256":"9d0f7594bc21114551b6d406f2b1a214d34220fbb9e4e02cc82394ad3f4fa882"}